Problem: As you very well know, this year's funkiest numbers are so called triangular numbers (that is, integers that are representable as <image>, where k is some positive integer), and the coolest numbers are those that are representable as a sum of two triangular numbers.

A well-known hipster Andrew adores everything funky and cool but unfortunately, he isn't good at maths. Given number n, help him define whether this number can be represented by a sum of two triangular numbers (not necessarily different)!

Input

The first input line contains an integer n (1 ≤ n ≤ 109).

Output

Print "YES" (without the quotes), if n can be represented as a sum of two triangular numbers, otherwise print "NO" (without the quotes).

Examples

Input

256


Output

YES


Input

512


Output

NO

Note

In the first sample number <image>.

In the second sample number 512 can not be represented as a sum of two triangular numbers.

Solution (in JAVA):

Solution:
import java.io.*;
import java.util.*;

import static java.lang.Math.*;

public class CF192A_FunkyNumbers extends PrintWriter {
    public void solve() throws IOException {
        int s = 0;
        Set<Integer> t = new HashSet<>();
        for(int i = 1; s <= 1000 * 1000 * 1000; i++) {
            s += i;
            t.add(s);
        }
        int n = readInt();
        for (Integer x : t) {
            if(t.contains(n - x)) {
                println("YES");
                return;
            }
        }
        println("NO");
    }

    BufferedReader in;
    StringTokenizer stok;

    public void run() {
        try {
            solve();
            close();
        } catch (Exception e) {
            e.printStackTrace();
            System.exit(abs(-1));
        }
    }

    CF192A_FunkyNumbers() {
        super(System.out);
        in = new BufferedReader(new InputStreamReader(System.in));
    }

    public static void main(String[] args) {
        try {
            Locale.setDefault(Locale.US);
        } catch (Exception ignored) {
        }
        new CF192A_FunkyNumbers().run();
    }

    String read() throws IOException {
        while (stok == null || !stok.hasMoreTokens()) {
            String s = in.readLine();
            if (s == null) {
                return null;
            }
            stok = new StringTokenizer(s);
        }
        return stok.nextToken();
    }

    int readInt() throws IOException {
        return Integer.parseInt(read());
    }

    long readLong() throws IOException {
        return Long.parseLong(read());
    }

    double readDouble() throws IOException {
        return Double.parseDouble(read());
    }

    int[] readIntArray(int len) throws IOException {
        int[] a = new int[len];
        for (int i = 0; i < len; i++) {
            a[i] = readInt();
        }
        return a;
    }

    <T> List<T>[] createAdjacencyList(int countVertex) {
        List<T>[] res = new List[countVertex];
        for (int i = 0; i < countVertex; i++) {
            res[i] = new ArrayList<T>();
        }
        return res;
    }
}